Viability Theory: New Directions - Couverture rigide

Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick

Couverture rigide

ISBN 10 : 3642166830 ISBN 13 : 9783642166839

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2011

Synopsis

The mathematical and algorithmic methods used by viability theory are relevant to an array of complex systems. This updated edition explains the applications of viability theory, explaining the central concepts and illustrating them with numerous examples.

A propos du livre

Présentation de l'éditeur

This work examines viability theory and its applications to control theory and differential games. The emphasis is on the construction of feedbacks and dynamical systems by myopic optimization methods. Systems of first-order partial differential inclusions, whose solutions are feedbacks, are constructed and investigated. Basic results are then extended to the case of fuzzy control problems, distributed control problems, and control systems with delays and memory. Aimed at graduate students and research mathematicians, both pure and applied, this book offers specialists in control and nonlinear systems tools to take into account general state constraints. Viability theory also allows researchers in other disciplines-artificial intelligence, economics, game theory, theoretical biology, population genetics, cognitive sciences-to go beyond deterministic models by studying them in a dynamical or evolutionary perspective in an uncertain environment. "The book is a compendium of the state of knowledge about viability . . . Mathematically, the book should be accessible to anyone who has had basic graduate courses in modern analysis and functional analysis . . . The concepts are defined and many proofs of the requisite results are reproduced here, making the present book essentially self-contained" (Bulletin of the AMS) "Because of the wide scope, the book is an ideal reference for people encountering problems related to viability theory in their research . . . It gives a very thorough mathematical presentation. Very useful for anybody confronted with viability constraints" (Mededelingen van het Wiskundig Genootschap)

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 3642166830
• ISBN 13: 9783642166839
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 824
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne